0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : supatvars_int
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n170.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:13:26 CST 2018
0.00/0.22	% done 54 iterations in 0.019s
0.00/0.22	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff(singletoninpowunion, axiom,
0.00/0.22	  (singletoninpowunion <=>
0.00/0.22	   (![A,B,Xx]:
0.00/0.22	      (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(binunion(A,B))))))).
0.00/0.22	tff('0', plain,
0.00/0.22	    ![X3, X4, X5]:
0.00/0.22	      (~ in(X3, X4)
0.00/0.22	       | in(setadjoin(X3, emptyset), powerset(binunion(X4, X5)))
0.00/0.22	       | ~ singletoninpowunion),
0.00/0.22	    inference('cnf', [status(esa)], [singletoninpowunion])).
0.00/0.22	tff(ubforcartprodlem1, conjecture,
0.00/0.22	  (subsetI2 =>
0.00/0.22	   (singletoninpowunion =>
0.00/0.22	    (upairset2E =>
0.00/0.22	     (upairinpowunion =>
0.00/0.22	      (![A,B,Xx]:
0.00/0.22	         (in(Xx,A) =>
0.00/0.22	          (![Xy]:
0.00/0.22	             (in(Xy,B) =>
0.00/0.22	              subset(setadjoin(setadjoin(Xx,emptyset),
0.00/0.22	                               setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),
0.00/0.22	                                         emptyset)),
0.00/0.22	                     powerset(binunion(A,B)))))))))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (subsetI2 =>
0.00/0.22	     (singletoninpowunion =>
0.00/0.22	      (upairset2E =>
0.00/0.22	       (upairinpowunion =>
0.00/0.22	        (![A,B,Xx]:
0.00/0.22	           (in(Xx,A) =>
0.00/0.22	            (![Xy]:
0.00/0.22	               (in(Xy,B) =>
0.00/0.22	                subset(setadjoin(setadjoin(Xx,emptyset),
0.00/0.22	                                 setadjoin(setadjoin(Xx,
0.00/0.22	                                                     setadjoin(Xy,emptyset)),
0.00/0.22	                                           emptyset)),
0.00/0.22	                       powerset(binunion(A,B))))))))))))).
0.00/0.22	tff('1', plain, singletoninpowunion,
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('2', plain,
0.00/0.22	    ![X3, X4, X5]:
0.00/0.22	      (~ in(X3, X4)
0.00/0.22	       | in(setadjoin(X3, emptyset), powerset(binunion(X4, X5)))
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X3, X4, X5]:
0.00/0.22	      (in(setadjoin(X3, emptyset), powerset(binunion(X4, X5))) | ~ in(X3, X4)),
0.00/0.22	    inference('simplify', [status(thm)], ['2'])).
0.00/0.22	tff(upairinpowunion, axiom,
0.00/0.22	  (upairinpowunion <=>
0.00/0.22	   (![A,B,Xx]:
0.00/0.22	      (in(Xx,A) =>
0.00/0.22	       (![Xy]:
0.00/0.22	          (in(Xy,B) =>
0.00/0.22	           in(setadjoin(Xx,setadjoin(Xy,emptyset)),powerset(binunion(A,B))))))))).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X9, X10, X11, X12]:
0.00/0.22	      (~ in(X9, X10)
0.00/0.22	       | in(setadjoin(X9, setadjoin(X11, emptyset)), 
0.00/0.22	           powerset(binunion(X10, X12)))
0.00/0.22	       | ~ in(X11, X12)
0.00/0.22	       | ~ upairinpowunion),
0.00/0.22	    inference('cnf', [status(esa)], [upairinpowunion])).
0.00/0.22	tff('5', plain, upairinpowunion, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('6', plain,
0.00/0.22	    ![X9, X10, X11, X12]:
0.00/0.22	      (~ in(X9, X10)
0.00/0.22	       | in(setadjoin(X9, setadjoin(X11, emptyset)), 
0.00/0.22	           powerset(binunion(X10, X12)))
0.00/0.22	       | ~ in(X11, X12)
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['4', '5'])).
0.00/0.22	tff('7', plain,
0.00/0.22	    ![X9, X10, X11, X12]:
0.00/0.22	      (~ in(X11, X12)
0.00/0.22	       | in(setadjoin(X9, setadjoin(X11, emptyset)), 
0.00/0.22	           powerset(binunion(X10, X12)))
0.00/0.22	       | ~ in(X9, X10)),
0.00/0.22	    inference('simplify', [status(thm)], ['6'])).
0.00/0.22	tff(subsetI2, axiom,
0.00/0.22	  (subsetI2 <=> (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B))))).
0.00/0.22	tff('8', plain,
0.00/0.22	    ![X0, X1]: (in(sk_Xx(X0, X1), X1) | subset(X1, X0) | ~ subsetI2),
0.00/0.22	    inference('cnf', [status(esa)], [subsetI2])).
0.00/0.22	tff('9', plain, subsetI2, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('10', plain,
0.00/0.22	    ![X0, X1]: (in(sk_Xx(X0, X1), X1) | subset(X1, X0) | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['8', '9'])).
0.00/0.22	tff('11', plain, ![X0, X1]: (subset(X1, X0) | in(sk_Xx(X0, X1), X1)),
0.00/0.22	    inference('simplify', [status(thm)], ['10'])).
0.00/0.22	tff(upairset2E, axiom,
0.00/0.22	  (upairset2E <=>
0.00/0.22	   (![Xx,Xy,Xz]:
0.00/0.22	      (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xy) | (Xz = Xx)))))).
0.00/0.22	tff('12', plain,
0.00/0.22	    ![X6, X7, X8]:
0.00/0.22	      (~ in(X6, setadjoin(X7, setadjoin(X8, emptyset)))
0.00/0.22	       | X6 = X8
0.00/0.22	       | X6 = X7
0.00/0.22	       | ~ upairset2E),
0.00/0.22	    inference('cnf', [status(esa)], [upairset2E])).
0.00/0.22	tff('13', plain, upairset2E, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('14', plain,
0.00/0.22	    ![X6, X7, X8]:
0.00/0.22	      (~ in(X6, setadjoin(X7, setadjoin(X8, emptyset)))
0.00/0.22	       | X6 = X8
0.00/0.22	       | X6 = X7
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['12', '13'])).
0.00/0.22	tff('15', plain,
0.00/0.22	    ![X6, X7, X8]:
0.00/0.22	      (X6 = X7 | X6 = X8 | ~ in(X6, setadjoin(X7, setadjoin(X8, emptyset)))),
0.00/0.22	    inference('simplify', [status(thm)], ['14'])).
0.00/0.22	tff('16', plain,
0.00/0.22	    ![X0, X1, X2]:
0.00/0.22	      (~ $true
0.00/0.22	       | subset(setadjoin(X1, setadjoin(X0, emptyset)), X2)
0.00/0.22	       | sk_Xx(X2, setadjoin(X1, setadjoin(X0, emptyset))) = X0
0.00/0.22	       | sk_Xx(X2, setadjoin(X1, setadjoin(X0, emptyset))) = X1),
0.00/0.22	    inference('sup-', [status(thm)], ['11', '15'])).
0.00/0.22	tff('17', plain,
0.00/0.22	    ![X0, X1, X2]:
0.00/0.22	      (sk_Xx(X2, setadjoin(X1, setadjoin(X0, emptyset))) = X1
0.00/0.22	       | sk_Xx(X2, setadjoin(X1, setadjoin(X0, emptyset))) = X0
0.00/0.22	       | subset(setadjoin(X1, setadjoin(X0, emptyset)), X2)),
0.00/0.22	    inference('simplify', [status(thm)], ['16'])).
0.00/0.22	tff('18', plain,
0.00/0.22	    ![X0, X1]: (~ in(sk_Xx(X0, X1), X0) | subset(X1, X0) | ~ subsetI2),
0.00/0.22	    inference('cnf', [status(esa)], [subsetI2])).
0.00/0.22	tff('19', plain,
0.00/0.22	    ![X0, X1]: (~ in(sk_Xx(X0, X1), X0) | subset(X1, X0) | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['18', '9'])).
0.00/0.22	tff('20', plain, ![X0, X1]: (subset(X1, X0) | ~ in(sk_Xx(X0, X1), X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['19'])).
0.00/0.22	tff('21', plain,
0.00/0.22	    ![X0, X1, X2]:
0.00/0.22	      (~ in(X0, X1)
0.00/0.22	       | subset(setadjoin(X0, setadjoin(X2, emptyset)), X1)
0.00/0.22	       | sk_Xx(X1, setadjoin(X0, setadjoin(X2, emptyset))) = X2
0.00/0.22	       | subset(setadjoin(X0, setadjoin(X2, emptyset)), X1)),
0.00/0.22	    inference('sup-', [status(thm)], ['17', '20'])).
0.00/0.22	tff('22', plain,
0.00/0.22	    ![X0, X1, X2]:
0.00/0.22	      (sk_Xx(X1, setadjoin(X0, setadjoin(X2, emptyset))) = X2
0.00/0.22	       | subset(setadjoin(X0, setadjoin(X2, emptyset)), X1)
0.00/0.22	       | ~ in(X0, X1)),
0.00/0.22	    inference('simplify', [status(thm)], ['21'])).
0.00/0.22	tff('23', plain,
0.00/0.22	    ![X0, X1, X2]:
0.00/0.22	      (~ in(X0, X1)
0.00/0.22	       | ~ in(X2, X1)
0.00/0.22	       | subset(setadjoin(X2, setadjoin(X0, emptyset)), X1)
0.00/0.22	       | subset(setadjoin(X2, setadjoin(X0, emptyset)), X1)),
0.00/0.22	    inference('sup-', [status(thm)], ['22', '20'])).
0.00/0.22	tff('24', plain,
0.00/0.22	    ![X0, X1, X2]:
0.00/0.22	      (subset(setadjoin(X2, setadjoin(X0, emptyset)), X1)
0.00/0.22	       | ~ in(X2, X1)
0.00/0.22	       | ~ in(X0, X1)),
0.00/0.22	    inference('simplify', [status(thm)], ['23'])).
0.00/0.22	tff('25', plain,
0.00/0.22	    ~ subset(
0.00/0.22	        setadjoin(setadjoin(sk_Xx4, emptyset), 
0.00/0.22	          setadjoin(setadjoin(sk_Xx4, setadjoin(sk_Xy2, emptyset)), emptyset)), 
0.00/0.22	        powerset(binunion(sk_A3, sk_B3))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('26', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ in(setadjoin(sk_Xx4, setadjoin(sk_Xy2, emptyset)), 
0.00/0.22	           powerset(binunion(sk_A3, sk_B3)))
0.00/0.22	     | ~ in(setadjoin(sk_Xx4, emptyset), powerset(binunion(sk_A3, sk_B3)))),
0.00/0.22	    inference('sup-', [status(thm)], ['24', '25'])).
0.00/0.22	tff('27', plain,
0.00/0.22	    (~ in(setadjoin(sk_Xx4, emptyset), powerset(binunion(sk_A3, sk_B3)))
0.00/0.22	     | ~ in(setadjoin(sk_Xx4, setadjoin(sk_Xy2, emptyset)), 
0.00/0.22	           powerset(binunion(sk_A3, sk_B3)))),
0.00/0.22	    inference('simplify', [status(thm)], ['26'])).
0.00/0.22	tff('28', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ in(sk_Xx4, sk_A3)
0.00/0.22	     | ~ in(sk_Xy2, sk_B3)
0.00/0.22	     | ~ in(setadjoin(sk_Xx4, emptyset), powerset(binunion(sk_A3, sk_B3)))),
0.00/0.22	    inference('sup-', [status(thm)], ['7', '27'])).
0.00/0.22	tff('29', plain, in(sk_Xx4, sk_A3),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('30', plain, in(sk_Xy2, sk_B3),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('31', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ $true
0.00/0.22	     | ~ $true
0.00/0.22	     | ~ in(setadjoin(sk_Xx4, emptyset), powerset(binunion(sk_A3, sk_B3)))),
0.00/0.22	    inference('demod', [status(thm)], ['28', '29', '30'])).
0.00/0.22	tff('32', plain,
0.00/0.22	    ~ in(setadjoin(sk_Xx4, emptyset), powerset(binunion(sk_A3, sk_B3))),
0.00/0.22	    inference('simplify', [status(thm)], ['31'])).
0.00/0.22	tff('33', plain, (~ $true | ~ in(sk_Xx4, sk_A3)),
0.00/0.22	    inference('sup-', [status(thm)], ['3', '32'])).
0.00/0.22	tff('34', plain, (~ $true | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['33', '29'])).
0.00/0.22	tff('35', plain, $false, inference('simplify', [status(thm)], ['34'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
